How to Solve Parabola Questions ( Tip-02)
→ 2nd Tip
For Example → Find the focus and
vertex of (x-1)2=-24(y-2)???
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First of all suppose x-1=X and
y-2=Y.So the equation becomes X2=-24Y
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Focus → =Find Focus of this
equation is same as that of above i.e:(0,-6).But here you have to follow one
more step as seen from this focus X=0 and Y=-6 So you have to put value of X
i.e.x-1 and Y=y-2.So,we get x-1=0 and y-2=-6,by solving this we get x=1 and
y=-4 so Focus becomes(1,-4).
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Vertex → Vertex of this equation(X2=-24Y)
is (0,0).Then,you have to follow same rule as that of focus.X=0 and Y=0
.Putting the value of X and Y.we get x-1=0 and y-2=0.By solving this we get
x=1 and y=2.So the vertex of this equation becomes (1,2)
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Directrix → .Here we apply same
rule as that of Example-1.We have equation X2=-24Y.So here
Directrix is equal to Y-6.Putting the value of Y
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Sometimes questions
asked like this → Find the equation,if focus(0,-8) ,vertex(0,0) and options are
given.
Simply you have to find focus of
given options if any one of the option is matched with given focus,then that
will be the correct answer of given condition.
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Regards: Educated Networks
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